Subgroups — C₉×#11758603 #22582685

Order 8991.

72 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#11758603	C₃	1	3	yes	maximal
2	C₉×#66524	C₃	1	1	yes	maximal, characteristic
3	C₃×C₉×C₃₇	C₉	1	1	yes	characteristic
4	C₃×#66524	C₉	1	2	yes	—
5	C₃×#66524	C₃²	1	1	yes	characteristic
6	#11758603	C₉	1	9	yes	direct product factor
7	C₃²×C₃₇	C₃×C₉	1	1	yes	characteristic
8	C₉×C₃₇	C₂₇	1	3	yes	complemented
9	#66524	C₂₇	1	6	yes	complemented
10	#66524	C₃×C₉	1	3	yes	—
11	C₉×C₂₇	—	37	1	no	maximal, Sylow
12	C₃×C₃₇	C₉²	1	1	yes	characteristic
13	C₃×C₃₇	C₃×C₂₇	1	1	yes	characteristic
14	C₃×C₃₇	C₃×C₂₇	1	2	yes	—
15	C₃×C₂₇	—	37	3	no	—
16	C₉²	—	37	1	no	—
17	C₃₇	C₉×C₂₇	1	1	yes	characteristic, complemented, Sylow
18	C₃×C₉	—	37	2	no	—
19	C₃×C₉	—	37	1	no	—
20	C₃×C₉	#66526	1	1	yes	characteristic
21	C₂₇	—	37	9	no	—
22	C₃²	C₃×#66526	1	1	yes	characteristic
23	C₉	—	37	3	no	—
24	C₉	—	37	6	no	—
25	C₉	#11758603	1	3	yes	direct product factor
26	C₃	C₉×#66526	1	1	yes	characteristic
27	C₃	C₃×#11758603	1	1	yes	characteristic
28	C₃	(C₃₇⋊C₃)⋊C₂₇	1	2	yes	—

Splittings G = N ⋊ H with N normal; H ≅ G/N.